Usha and Lucy have some stickers. If Usha gives 30 stickers to Lucy, Lucy will have 5 times the number of stickers as Usha. If Lucy gives 47 stickers to Usha, Usha will have
23 as many stickers as Lucy. How many stickers does Usha have at first?
|
Case 1 |
Case 2 |
|
Usha |
Lucy |
Usha |
Lucy |
Before |
5 u + 30 |
25 u - 30 |
12 u - 47 |
18 u + 47 |
Change |
- 30 |
+ 30 |
+ 47 |
- 47 |
After |
1x5 = 5 u |
5x5 = 25 u |
2x6 = 12 u |
3x6 = 18 u |
The total number of stickers in both cases remains unchanged. Make the total number of stickers in both cases the same. LCM of 6 and 5 is 30.
Number of stickers that Usha had at first is the same in both cases.
12 u - 47 = 5 u + 30
12 u - 5 u = 30 + 47
7 u = 77
1 u = 11
Number of stickers that Usha had at first
= 5 u + 30
= 5 x 11 + 30
= 55 + 30
= 85
Answer(s): 85